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The ground-state properties of the antiferromagnetic, nearest-neighbor, frustrated Heisenberg spin-1/2 system on a nontranslational lattice of dimension d=ln3/ln2 are investigated. The argument is presented indicating that quantum fluctuations, frustration, lack of translational symmetry, and reduction of dimension of the system from d=2, but kept above d=1, taken together lead to a disordered ground state in quantum antiferromagnets. {} 1996 The American Physical Society.
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Tomczak et al. (1996) studied this question.
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